Compute the total dynamic head H = (p_d - p_s)/(ρ·g) + Δz + (v_d² - v_s²)/(2g) of a centrifugal pump (m), then the fluid power P_fluid = ρ·g·Q·H and shaft power P_shaft = P_fluid/η. p_d and p_s are gauge pressures (suction may be negative for suction lift). Nozzle velocities v = 4Q/(π·D²) come from the flow rate and the discharge/suction nozzle diameters; if a nozzle diameter is left blank its velocity head is omitted. Pressure in Pa/kPa/bar/atm/psi, flow in m³/s/L/s/L/min/m³/h, density in kg/m³/g/cm³; power output in W/kW/hp.
Send a POST request with your inputs as JSON. File parameters require a separate upload first.
Endpoint
HTTP
POST https://api.elysiatools.com/en/api/tools/pump-head-power
Parameters
Name
Type
Required
Description
dischargePressure
number
Yes
Discharge gauge pressure p_d. Enter in the selected Pressure Unit.
pressureUnit
select
No
—
suctionPressure
number
No
Suction gauge pressure p_s (may be negative for suction lift). Enter in the selected Pressure Unit.
staticHeadDelta
number
No
Elevation difference Δz between the discharge and suction gauges (m). Positive if the discharge gauge is higher.
flowRate
number
MCP integration
Add this tool to your Model Context Protocol server so AI agents can list and call it.
Server configuration
Add this block to your MCP client configuration:
mcp.json
{
"mcpServers": {
"elysiatools-pump-head-power": {
"name": "pump-head-power",
"description": "Compute the total dynamic head H = (p_d - p_s)/(ρ·g) + Δz + (v_d² - v_s²)/(2g) of a centrifugal pump (m), then the fluid power P_fluid = ρ·g·Q·H and shaft power P_shaft = P_fluid/η. p_d and p_s are gauge pressures (suction may be negative for suction lift). Nozzle velocities v = 4Q/(π·D²) come from the flow rate and the discharge/suction nozzle diameters; if a nozzle diameter is left blank its velocity head is omitted. Pressure in Pa/kPa/bar/atm/psi, flow in m³/s/L/s/L/min/m³/h, density in kg/m³/g/cm³; power output in W/kW/hp.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=pump-head-power",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}
List available tools
After connecting to the SSE endpoint, list the exposed tools: